Question

Define the following fractions by giving atlead

two examples each

Proper fraction

5) Improper fraction Decimal fraction

dy Like fractions e) Equintent fraction​

Answer 1

Proper Fraction

A fraction where the numerator is less than the denominator, then it is known as a proper fraction.

i.e., Numerator < Denominator

For example,

Types of fractions-Proper fraction

Note:

The value of proper fraction after further simplification is always less than 1.

Improper Fraction

A fraction where the numerator is greater than the denominator, then it is known as an improper fraction.

i.e., Numerator > Denominator

For example,

Types of fraction - Improper fraction

Note:

All the natural numbers can be represented in the form of fractions, where the denominator is always equal to 1.

The simplification of improper fraction results in the value which is equal or greater than 1, but not less than 1.

Mixed Fraction

A mixed fraction is the combination of a natural number and fraction. It is basically an improper fraction.

Types of fraction - Mixed fraction

Note:

Mixed fractions can always be converted into a fraction.

An improper fraction can be converted into a mixed fraction.

A mixed fraction is always greater than 1.

Like Fractions

The fractions which have the same denominators are called like fractions.

For example 1/2, 3/2, 5/2, 7/2 are like fractions.

The simplification of such fractions is easy, as all the denominators here are the same. Suppose we need to add all the above like fractions, then;

1/2 + 3/2 + 5/2 + 7/2 = (1+3+5+7)/2 = 16/2 = 8

Unlike Fractions

The fractions which have unequal denominators or different denominators are called, unlike fractions.

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Answer 2

Answer:

A fraction where the numerator (the top number) is less than the denominator (the bottom number). Example: 1/4 (one quarter) and 5/6 (five sixths) are proper fractions

An improper fraction is a fraction in which the numerator (top number) is greater than or equal to the denominator (bottom number). Fractions such as 65 or 114 are “improper”.

A fraction where the denominator (the bottom number) is a power of ten (such as 10, 100, 1000, etc) are called decimal fraction . example- Fractional form of 0.7 is 7/10.

The group of two or more fractions that have exactly the same denominator are called like fractions. Or we can say that the fractions which have the same numbers in the denominators are called like fractions. For example, 1/7, 2/7, 5/7, 6/7 are all like fractions, whose denominators equal to 7.

Equivalent fractions are the fractions that have different numerator and denominator but are equal to the same value. For example, 2/4 and 3/6 both are equal to ½. Hence, they are equivalent in nature. These fractions represent the same proportion of the whole.

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